D-branes:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge University Press
2006
|
| Edition: | Reprint., digitally printed |
| Series: | Cambridge monographs on mathematical physics
|
| Subjects: | |
| Online Access: | Publisher description Table of contents Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | XXIII, 548 S. Ill., graph. Darst. |
| ISBN: | 0521809126 9780521809122 0521030056 9780521030052 |
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MARC
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| 044 | |a xxu |c US | ||
| 049 | |a DE-355 |a DE-384 |a DE-19 | ||
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| 082 | 0 | |a 539.7258 |2 22 | |
| 084 | |a UO 4065 |0 (DE-625)146245: |2 rvk | ||
| 100 | 1 | |a Johnson, Clifford Victor |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a D-branes |c Clifford V. Johnson |
| 250 | |a Reprint., digitally printed | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge University Press |c 2006 | |
| 300 | |a XXIII, 548 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Cambridge monographs on mathematical physics | |
| 500 | |a Includes bibliographical references and index | ||
| 650 | 4 | |a D-branes | |
| 650 | 4 | |a String models | |
| 650 | 4 | |a Superstring theories | |
| 650 | 0 | 7 | |a Superstringtheorie |0 (DE-588)4224277-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a M-Theorie |0 (DE-588)4612243-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a M-Theorie |0 (DE-588)4612243-6 |D s |
| 689 | 0 | 1 | |a Superstringtheorie |0 (DE-588)4224277-0 |D s |
| 689 | 0 | |5 DE-604 | |
| 856 | 4 | |u http://www.loc.gov/catdir/description/cam022/2002023434.html |3 Publisher description | |
| 856 | 4 | |u http://www.loc.gov/catdir/toc/cam022/2002023434.html |3 Table of contents | |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014918109&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-014918109 | ||
Record in the Search Index
| _version_ | 1804135536879730688 |
|---|---|
| adam_text | Contents
List
of inserts
xviii
Preface
XX
1
Overview and overture
1
1.1
The classical dynamics of geometry
1
1.2
Gravitons
and photons
7
1.3
Beyond classical gravity: perturbative strings
11
1.4
Beyond perturbative strings: branes
15
1.5
The quantum dynamics of geometry
19
1.6
Things to do in the meantime
20
1.7
On with the show
22
2
Relativistic strings
24
2.1
Motion of classical point particles
24
2.1.1
Two actions
24
2.1.2
Symmetries
26
2.2
Classical bosonic strings
27
2.2.1
Two actions
27
2.2.2
Symmetries
29
2.2.3
String equations of motion
30
2.2.4
Further aspects of the two dimensional
perspective
31
2.2.5
The stress tensor
35
2.2.6
Gauge fixing
35
2.2.7
The mode decomposition
37
2.2.8
Conformai invariance as a
residual symmetry
37
2.2.9
Some Hamiltonian dynamics
38
IX
x
Contents
2.3
Quantised bosonic strings
40
2.3.1
The constraints and physical states
41
2.3.2
The intercept and critical dimensions
42
2.3.3
A glance at more sophisticated techniques
45
2.4
The sphere, the plane and the vertex operator
47
2.4.1
States and operators
48
2.5
Chan-Paton factors
51
2.6
Unoriented strings
52
2.6.1
Unoriented open strings
52
2.6.2
Unoriented closed strings
54
2.6.3
World-sheet diagrams
55
2.7
Strings in curved backgrounds
56
2.8
A quick look at geometry
61
2.8.1
Working with the local tangent frames
61
2.8.2
Differential forms
63
2.8.3
Coordinate vs.
orthonormal
bases
65
2.8.4
The
Lorentz
group as a gauge group
67
2.8.5
Fermions
in curved spacetime
68
2.8.6
Comparison to differential geometry
68
3
A closer look at the world-sheet
70
3.1
Conformai invariance
70
3.1.1
Diverse dimensions
70
3.1.2
The special case of two dimensions
73
3.1.3
States and operators
74
3.1.4
The operator product expansion
75
3.1.5
The stress tensor and the Virasoro
algebra
76
3.2
Revisiting the relativistic string
80
3.3
Fixing the
conformai
gauge
85
3.3.1
Conformai
ghosts
85
3.3.2
The critical dimension
86
3.4
The closed string partition function
87
4
Strings on circles and T-duality
94
4.1
Fields and strings on a circle
94
4.1.1
The Kaluza-Klein reduction
95
4.1.2
Closed strings on a circle
96
4.2
Т
-duality
for closed strings
99
4.3
A special radius: enhanced gauge symmetry
100
4.4
The circle partition function
103
4.5
Toriodal compactifications
104
Contents
xi
4.6
More on enhanced gauge symmetry
108
4.6.1
Lie algebras and groups
108
4.6.2
The classical Lie algebras 111
4.6.3
Physical realisations with vertex operators
113
4.7
Another special radius: bosonisation
113
4.8
String theory on an orbifold
117
4.9
Т
-duality
for open strings: D-branes
119
4.9.1
Chan-Paton factors and Wilson lines
121
4.10
D-brane collective coordinates
123
4.11
Т
-duality
for unoriented strings: orientifolds
125
5
Background fields and world-volume actions
129
5.1
Т
-duality
in background fields
129
5.2
A first look at the D-brane world-volume action
131
5.2.1
World-volume actions from tilted D-branes
133
5.3
The Dirac-Born-Infeld action
135
5.4
The action of T-duality
136
5.5
Non-Abelian extensions
136
5.6
D-branes and gauge theory
138
5.7
BPS
lumps on the world-volume
138
6
D-brane tension and boundary states
141
6.1
The D-brane tension
142
6.1.1
An open string partition function
142
6.1.2
A background field computation
145
6.2
The orientifold tension
148
6.2.1
Another open string partition function
148
6.3
The boundary state formalism
150
7
Supersymmetric strings
155
7.1
The three basic superstring theories
155
7.1.1
Open superstrings: type I
155
7.1.2
Closed superstrings: type II
160
7.1.3
Type I from type IIB, the prototype orientifold
165
7.1.4
The Green-Schwarz mechanism
166
7.2
The two basic heterotic string theories
169
7.2.1
5Ό(32)
and Eg
x
E8 from self-dual lattices
171
7.2.2
The massless spectrum
172
7.3
The ten dimensional supergravities
174
7.4
Heterotic toroidal compactifications
176
7.5
Superstring toroidal compactification
178
7.6
A superstring orbifold: discovering the
КЗ
manifold
179
xii Contents
7.6.1
The orbifold spectrum
180
7.6.2
Another miraculous anomaly cancellation
183
7.6.3
The
КЗ
manifold
184
7.6.4
Blowing up the orbifold
185
7.6.5
Some other
КЗ
orbifolds
189
7.6.6
Anticipating D-manifolds
191
8
Supersymmetric strings and T-duality
192
8.1
Т
-duality
of supersymmetric strings
192
8.1.1
Т
-duality
of type II superstrings
192
8.1.2
Т
-duality
of type I superstrings
193
8.1.3
Т
-duality
for the heterotic strings
194
8.2
D-branes as
BPS solitons
195
8.3
The D-brane charge and tension
197
8.4
The orientifold charge and tension
200
8.5
Type I from type IIB, revisited
201
8.6
Dirac charge quantisation
201
8.7
D-branes in type I
202
9
World-volume curvature couplings
205
9.1
Tilted D-branes and branes within branes
205
9.2
Anomalous gauge couplings
206
9.3
Characteristic classes and invariant polynomials
210
9.4
Anomalous curvature couplings
216
9.5
A relation to anomalies
218
9.6
D-branes and K-theory
220
9.7
Further non-Abelian extensions
221
9.8
Further curvature couplings
222
10
The geometry of D-branes
224
10.1
A look at black holes in four dimensions
224
10.1.1
A brief study of the Einstein-Maxwell system
224
10.1.2
Basic properties of
Schwarzschild 225
10.1.3
Basic properties of Reissner-Nordstrom
228
10.1.4
Extremality, supersymmetry, and the
BPS
condition
228
10.1.5
Multiple black holes and multicentre solutions
232
10.1.6
Near horizon geometry and an infinite throat
233
10.1.7
Cosmologica!
constant;
de
Sitter and anti-de
Sitter
233
10.1.8
de-Sitter spacetime and the sphere
234
10.1.9
Anti-de Sitter in various coordinate systems
235
Contents xiii
10.1.10 Anti-de
Sitter as a hyperbolic slice
236
10.1.11
Revisiting the extremal solution
237
10.2
The geometry of D-branes
238
10.2.1
A family of p-brane solutions
238
10.2.2
The boost form of solution
239
10.2.3
The extremal limit and coincident D-branes
240
10.3
Probing p-brane geometry with Dp-branes
243
10.3.1
Thought experiment: building
ρ
with Dp
243
10.3.2
Effective Lagrangian from the world-volume
action
244
10.3.3
A metric on moduli space
245
10.4
Т
-duality
and supergravity solutions
246
10.4.1
D(p
+ 1)
from Dp
246
10.4.2
D(p
- 1)
from Dp
248
11
Multiple D-branes and bound states
249
11.1
Dp and Dp from boundary conditions
249
11.2
The
BPS
bound for the Dp-Dp system
252
11.3
Bound states of fundamental strings and D-strings
254
11.4
The three-string junction
255
11.5
Aspects of D-brane bound states
258
11.5.1 0-0
bound states
258
11.5.2 0-2
bound states
258
11.5.3 0-4
bound states
259
11.5.4 0-6
bound states
260
11.5.5 0-8
bound states
260
12
Strong coupling and string duality
261
12.1
Type IIB/type IIB duality
261
12.1.1
D
1-brane collective coordinates
261
12.1.2
S-duality and SX(2,Z)
263
12.2 50(32)
Type I/heterotic duality
264
12.2.1
Dl-brane collective coordinates
264
12.3
Dual branes from 10D string-string duality
265
12.3.1
The heterotic NS-fivebrane
267
12.3.2
The type IIA and type IIB
NSõ-brane
268
12.4
Type IIA/M-theory duality
271
12.4.1
A closer look at DO-branes
271
12.4.2
Eleven dimensional supergravity
271
12.5
Eg
x
Es
heterotic string/M-theory duality
273
12.6
Мг-Ьгапев
and
Mö-branes 276
12.6.1
Supergravity solutions
276
xiv Contents
12.6.2
From D-branes and
NSö-branes
to M-branes
and back
277
12.7 U-duality 278
12.7.1 Type
II strings on
Τ5
and
В6(б) 278
12.7.2
U-duality and bound states
279
13
D-branes and geometry I
282
13.1
D-branes as probes of ALE spaces
282
13.1.1
Basic setup and a quiver gauge theory
282
13.1.2
The moduli space of vacua
285
13.1.3
ALE space as metric on moduli space
286
13.1.4
D-branes and the
hyper-Kähler
quotient
289
13.2
Fractional D-branes and wrapped D-branes
291
13.2.1
Fractional branes
291
13.2.2
Wrapped branes
292
13.3
Wrapped, fractional and stretched branes
294
13.3.1 NSö-branes
from ALE spaces
295
13.3.2
Dual realisations of quivers
296
13.4
D-branes as
instantons
300
13.4.1
Seeing the
instanton
with a probe
301
13.4.2
Small
instantons
305
13.5
D-branes as
monopoles
306
13.5.1
Adjoint Higgs and
monopoles
309
13.5.2
BPS monopole
solution from
Nahm
data
311
13.6
The D-brane dielectric effect
314
13.6.1
Non-Abelian world-volume interactions
314
13.6.2
Stable fuzzy spherical D-branes
316
13.6.3
Stable smooth spherical D-branes
318
14
КЗ
orientifolds and compactiflcation
322
14.1
Z.y orientifolds and Chan-Paton factors
322
14.2
Loops and tadpoles for ALE
Ћм
singularities
324
14.2.1
One-loop diagrams and tadpoles
324
14.2.2
Computing the one-loop diagrams
325
14.2.3
Extracting the tadpoles
330
14.3
Solving the tadpole equations
333
14.3.1
Т
-duality
relations
333
14.3.2
Explicit solutions
334
14.4
Closed string spectra
336
14.5
Open string spectra
339
14.6
Anomalies for
Я
= 1
in six dimensions
341
Contents xv
15 D-branes and
geometry
II
345
15.1
Probing
ρ
with
D (p
- 4) 345
15.2
Probing six-branes: Kaluza-Klein
monopoles
and M-theory
346
15.3
The moduli space of
3D
supersymmetric gauge theory
348
15.4
Wrapped branes and the
enhançon
mechanism
352
15.4.1
Wrapping
Dö-branes 353
15.4.2
The repulson geometry
354
15.4.3
Probing with a wrapped DG-brane
356
15.5
The consistency of excision in supergravity
360
15.6
The moduli space of pure glue in
3D 362
15.6.1
Multi-monopole moduli space
363
16
Towards M- and F-theory
367
16.1
The type IIB string and F-theory
367
16.1.1
5X(2,Z) duality
368
16.1.2
The
(їм)
strings
369
16.1.3
String networks
371
16.1.4
The self-duality of DS-branes
373
16.1.5
(p, q) Fivebranes
375
16.1.6
SL(2, Z) and
Dľ-braiies
376
16.1.7
Some algebraic geometry
379
16.1.8
F-theory, and a dual heterotic description
383
16.1.9
(p, q) Sevenbranes
384
16.1.10
Enhanced gauge symmetry and singularities
of
КЗ
386
16.1.11
F-theory at constant coupling
387
16.1.12
The moduli space of hi
= 2
SU(N) with N{
= 4 392
16.2
M-theory origins of F-theory
394
16.2.1
M-branes and odd D-branes
396
16.2.2
M-theory on
КЗ
and heterotic on T3
399
16.2.3
Type IIA on
КЗ
and heterotic on T4
400
16.3
Matrix theory
400
16.3.1
Another look at DO-branes
401
16.3.2
The infinite momentum frame
402
16.3.3
Matrix string theory
404
17
D-branes and black holes
409
17.1
Black hole thermodynamics
409
17.1.1
The path integral and the Euclidean calculus
409
17.1.2
The semiclassical approximation
411
17.1.3
The temperature of black holes
412
xvi
Contents
17.2
The Euclidean action calculus
414
17.2.1
The action for
Schwarzschild 414
17.2.2
The action for
Reissner-Nordström 416
17.2.3
The laws of thermodynamics
417
17.3
D
= 5 Reissner-Nordström
black holes
418
17.3.1
Making the black hole
420
17.3.2
Microscopic entropy and a 2D field theory
425
17.3.3
Non-extremality and a 2D dilute gas limit
427
17.4
Near horizon geometry
429
17.5
Replacing T4 with
КЗ
432
17.5.1
The geometry
432
17.5.2
The microscopic entropy
433
17.5.3
Probing the black hole with branes
434
17.5.4
The
enhançon
and the second law
437
18
D-branes, gravity and gauge theory
440
18.1
The AdS/CFT correspondence
441
18.1.1
Branes and the decoupling limit
441
18.1.2
Sphere reduction and gauged supergravity
443
18.1.3
Extracts from the dictionary
446
18.1.4
The action, counterterms, and the stress tensor
449
18.2
The correspondence at finite temperature
452
18.2.1
Limits of the non-extremal
БЗ-Ьгапе
452
18.2.2
The AdS-Schwarzschild black hole in global
coordinates
453
18.3
The correspondence with a chemical potential
455
18.3.1
Spinning DS-branes and charged AdS black
holes
455
18.3.2
The
AdS-Reissner-Nordström
black hole
459
18.3.3
Thermodynamic phase structure
459
18.4
The holographic principle
464
19
The holographic
renormalisation
group
467
19.1
Renormalisation
group flows from gravity
467
19.1.1
A BPS domain wall and supersymmetry
469
19.2
Flowing on the Coulomb branch
472
19.2.1
A five dimensional solution
472
19.2.2
A ten dimensional solution
475
19.2.3
Probing the geometry
475
19.2.4
Brane
distributions
478
19.3
An
Я
= 1
gauge dual RG flow
480
19.3.1
The five dimensional solution
482
Contents xvii
19.3.2
The ten dimensional solution
486
19.3.3
Probing with
а БЗ-Ьгапе
487
19.3.4
The Coulomb branch
488
19.3.5 Kahler
structure of the Coulomb branch
489
19.4
An
λί
= 2
gauge dual RG flow and the
enhançon
494
19.4.1
The five dimensional solution
494
19.4.2
The ten dimensional solution
498
19.4.3
Probing with
а БЗ-Ьгапе
499
19.4.4
The moduli space
500
19.5
Beyond gravity duals
502
20
Taking stock
504
References
510
Index
529
|
| adam_txt |
Contents
List
of inserts
xviii
Preface
XX
1
Overview and overture
1
1.1
The classical dynamics of geometry
1
1.2
Gravitons
and photons
7
1.3
Beyond classical gravity: perturbative strings
11
1.4
Beyond perturbative strings: branes
15
1.5
The quantum dynamics of geometry
19
1.6
Things to do in the meantime
20
1.7
On with the show
22
2
Relativistic strings
24
2.1
Motion of classical point particles
24
2.1.1
Two actions
24
2.1.2
Symmetries
26
2.2
Classical bosonic strings
27
2.2.1
Two actions
27
2.2.2
Symmetries
29
2.2.3
String equations of motion
30
2.2.4
Further aspects of the two dimensional
perspective
31
2.2.5
The stress tensor
35
2.2.6
Gauge fixing
35
2.2.7
The mode decomposition
37
2.2.8
Conformai invariance as a
residual symmetry
37
2.2.9
Some Hamiltonian dynamics
38
IX
x
Contents
2.3
Quantised bosonic strings
40
2.3.1
The constraints and physical states
41
2.3.2
The intercept and critical dimensions
42
2.3.3
A glance at more sophisticated techniques
45
2.4
The sphere, the plane and the vertex operator
47
2.4.1
States and operators
48
2.5
Chan-Paton factors
51
2.6
Unoriented strings
52
2.6.1
Unoriented open strings
52
2.6.2
Unoriented closed strings
54
2.6.3
World-sheet diagrams
55
2.7
Strings in curved backgrounds
56
2.8
A quick look at geometry
61
2.8.1
Working with the local tangent frames
61
2.8.2
Differential forms
63
2.8.3
Coordinate vs.
orthonormal
bases
65
2.8.4
The
Lorentz
group as a gauge group
67
2.8.5
Fermions
in curved spacetime
68
2.8.6
Comparison to differential geometry
68
3
A closer look at the world-sheet
70
3.1
Conformai invariance
70
3.1.1
Diverse dimensions
70
3.1.2
The special case of two dimensions
73
3.1.3
States and operators
74
3.1.4
The operator product expansion
75
3.1.5
The stress tensor and the Virasoro
algebra
76
3.2
Revisiting the relativistic string
80
3.3
Fixing the
conformai
gauge
85
3.3.1
Conformai
ghosts
85
3.3.2
The critical dimension
86
3.4
The closed string partition function
87
4
Strings on circles and T-duality
94
4.1
Fields and strings on a circle
94
4.1.1
The Kaluza-Klein reduction
95
4.1.2
Closed strings on a circle
96
4.2
Т
-duality
for closed strings
99
4.3
A special radius: enhanced gauge symmetry
100
4.4
The circle partition function
103
4.5
Toriodal compactifications
104
Contents
xi
4.6
More on enhanced gauge symmetry
108
4.6.1
Lie algebras and groups
108
4.6.2
The classical Lie algebras 111
4.6.3
Physical realisations with vertex operators
113
4.7
Another special radius: bosonisation
113
4.8
String theory on an orbifold
117
4.9
Т
-duality
for open strings: D-branes
119
4.9.1
Chan-Paton factors and Wilson lines
121
4.10
D-brane collective coordinates
123
4.11
Т
-duality
for unoriented strings: orientifolds
125
5
Background fields and world-volume actions
129
5.1
Т
-duality
in background fields
129
5.2
A first look at the D-brane world-volume action
131
5.2.1
World-volume actions from tilted D-branes
133
5.3
The Dirac-Born-Infeld action
135
5.4
The action of T-duality
136
5.5
Non-Abelian extensions
136
5.6
D-branes and gauge theory
138
5.7
BPS
lumps on the world-volume
138
6
D-brane tension and boundary states
141
6.1
The D-brane tension
142
6.1.1
An open string partition function
142
6.1.2
A background field computation
145
6.2
The orientifold tension
148
6.2.1
Another open string partition function
148
6.3
The boundary state formalism
150
7
Supersymmetric strings
155
7.1
The three basic superstring theories
155
7.1.1
Open superstrings: type I
155
7.1.2
Closed superstrings: type II
160
7.1.3
Type I from type IIB, the prototype orientifold
165
7.1.4
The Green-Schwarz mechanism
166
7.2
The two basic heterotic string theories
169
7.2.1
5Ό(32)
and Eg
x
E8 from self-dual lattices
171
7.2.2
The massless spectrum
172
7.3
The ten dimensional supergravities
174
7.4
Heterotic toroidal compactifications
176
7.5
Superstring toroidal compactification
178
7.6
A superstring orbifold: discovering the
КЗ
manifold
179
xii Contents
7.6.1
The orbifold spectrum
180
7.6.2
Another miraculous anomaly cancellation
183
7.6.3
The
КЗ
manifold
184
7.6.4
Blowing up the orbifold
185
7.6.5
Some other
КЗ
orbifolds
189
7.6.6
Anticipating D-manifolds
191
8
Supersymmetric strings and T-duality
192
8.1
Т
-duality
of supersymmetric strings
192
8.1.1
Т
-duality
of type II superstrings
192
8.1.2
Т
-duality
of type I superstrings
193
8.1.3
Т
-duality
for the heterotic strings
194
8.2
D-branes as
BPS solitons
195
8.3
The D-brane charge and tension
197
8.4
The orientifold charge and tension
200
8.5
Type I from type IIB, revisited
201
8.6
Dirac charge quantisation
201
8.7
D-branes in type I
202
9
World-volume curvature couplings
205
9.1
Tilted D-branes and branes within branes
205
9.2
Anomalous gauge couplings
206
9.3
Characteristic classes and invariant polynomials
210
9.4
Anomalous curvature couplings
216
9.5
A relation to anomalies
218
9.6
D-branes and K-theory
220
9.7
Further non-Abelian extensions
221
9.8
Further curvature couplings
222
10
The geometry of D-branes
224
10.1
A look at black holes in four dimensions
224
10.1.1
A brief study of the Einstein-Maxwell system
224
10.1.2
Basic properties of
Schwarzschild 225
10.1.3
Basic properties of Reissner-Nordstrom
228
10.1.4
Extremality, supersymmetry, and the
BPS
condition
228
10.1.5
Multiple black holes and multicentre solutions
232
10.1.6
Near horizon geometry and an infinite throat
233
10.1.7
Cosmologica!
constant;
de
Sitter and anti-de
Sitter
233
10.1.8
de-Sitter spacetime and the sphere
234
10.1.9
Anti-de Sitter in various coordinate systems
235
Contents xiii
10.1.10 Anti-de
Sitter as a hyperbolic slice
236
10.1.11
Revisiting the extremal solution
237
10.2
The geometry of D-branes
238
10.2.1
A family of 'p-brane' solutions
238
10.2.2
The boost form of solution
239
10.2.3
The extremal limit and coincident D-branes
240
10.3
Probing p-brane geometry with Dp-branes
243
10.3.1
Thought experiment: building
ρ
with Dp
243
10.3.2
Effective Lagrangian from the world-volume
action
244
10.3.3
A metric on moduli space
245
10.4
Т
-duality
and supergravity solutions
246
10.4.1
D(p
+ 1)
from Dp
246
10.4.2
D(p
- 1)
from Dp
248
11
Multiple D-branes and bound states
249
11.1
Dp and Dp' from boundary conditions
249
11.2
The
BPS
bound for the Dp-Dp'system
252
11.3
Bound states of fundamental strings and D-strings
254
11.4
The three-string junction
255
11.5
Aspects of D-brane bound states
258
11.5.1 0-0
bound states
258
11.5.2 0-2
bound states
258
11.5.3 0-4
bound states
259
11.5.4 0-6
bound states
260
11.5.5 0-8
bound states
260
12
Strong coupling and string duality
261
12.1
Type IIB/type IIB duality
261
12.1.1
D
1-brane collective coordinates
261
12.1.2
S-duality and SX(2,Z)
263
12.2 50(32)
Type I/heterotic duality
264
12.2.1
Dl-brane collective coordinates
264
12.3
Dual branes from 10D string-string duality
265
12.3.1
The heterotic NS-fivebrane
267
12.3.2
The type IIA and type IIB
NSõ-brane
268
12.4
Type IIA/M-theory duality
271
12.4.1
A closer look at DO-branes
271
12.4.2
Eleven dimensional supergravity
271
12.5
Eg
x
Es
heterotic string/M-theory duality
273
12.6
Мг-Ьгапев
and
Mö-branes 276
12.6.1
Supergravity solutions
276
xiv Contents
12.6.2
From D-branes and
NSö-branes
to M-branes
and back
277
12.7 U-duality 278
12.7.1 Type
II strings on
Τ5
and
В6(б) 278
12.7.2
U-duality and bound states
279
13
D-branes and geometry I
282
13.1
D-branes as probes of ALE spaces
282
13.1.1
Basic setup and a quiver gauge theory
282
13.1.2
The moduli space of vacua
285
13.1.3
ALE space as metric on moduli space
286
13.1.4
D-branes and the
hyper-Kähler
quotient
289
13.2
Fractional D-branes and wrapped D-branes
291
13.2.1
Fractional branes
291
13.2.2
Wrapped branes
292
13.3
Wrapped, fractional and stretched branes
294
13.3.1 NSö-branes
from ALE spaces
295
13.3.2
Dual realisations of quivers
296
13.4
D-branes as
instantons
300
13.4.1
Seeing the
instanton
with a probe
301
13.4.2
Small
instantons
305
13.5
D-branes as
monopoles
306
13.5.1
Adjoint Higgs and
monopoles
309
13.5.2
BPS monopole
solution from
Nahm
data
311
13.6
The D-brane dielectric effect
314
13.6.1
Non-Abelian world-volume interactions
314
13.6.2
Stable fuzzy spherical D-branes
316
13.6.3
Stable smooth spherical D-branes
318
14
КЗ
orientifolds and compactiflcation
322
14.1
Z.y orientifolds and Chan-Paton factors
322
14.2
Loops and tadpoles for ALE
Ћм
singularities
324
14.2.1
One-loop diagrams and tadpoles
324
14.2.2
Computing the one-loop diagrams
325
14.2.3
Extracting the tadpoles
330
14.3
Solving the tadpole equations
333
14.3.1
Т
-duality
relations
333
14.3.2
Explicit solutions
334
14.4
Closed string spectra
336
14.5
Open string spectra
339
14.6
Anomalies for
Я
= 1
in six dimensions
341
Contents xv
15 D-branes and
geometry
II
345
15.1
Probing
ρ
with
D (p
- 4) 345
15.2
Probing six-branes: Kaluza-Klein
monopoles
and M-theory
346
15.3
The moduli space of
3D
supersymmetric gauge theory
348
15.4
Wrapped branes and the
enhançon
mechanism
352
15.4.1
Wrapping
Dö-branes 353
15.4.2
The repulson geometry
354
15.4.3
Probing with a wrapped DG-brane
356
15.5
The consistency of excision in supergravity
360
15.6
The moduli space of pure glue in
3D 362
15.6.1
Multi-monopole moduli space
363
16
Towards M- and F-theory
367
16.1
The type IIB string and F-theory
367
16.1.1
5X(2,Z) duality
368
16.1.2
The
(їм)
strings
369
16.1.3
String networks
371
16.1.4
The self-duality of DS-branes
373
16.1.5
(p, q) Fivebranes
375
16.1.6
SL(2, Z) and
Dľ-braiies
376
16.1.7
Some algebraic geometry
379
16.1.8
F-theory, and a dual heterotic description
383
16.1.9
(p, q) Sevenbranes
384
16.1.10
Enhanced gauge symmetry and singularities
of
КЗ
386
16.1.11
F-theory at constant coupling
387
16.1.12
The moduli space of hi
= 2
SU(N) with N{
= 4 392
16.2
M-theory origins of F-theory
394
16.2.1
M-branes and odd D-branes
396
16.2.2
M-theory on
КЗ
and heterotic on T3
399
16.2.3
Type IIA on
КЗ
and heterotic on T4
400
16.3
Matrix theory
400
16.3.1
Another look at DO-branes
401
16.3.2
The infinite momentum frame
402
16.3.3
Matrix string theory
404
17
D-branes and black holes
409
17.1
Black hole thermodynamics
409
17.1.1
The path integral and the Euclidean calculus
409
17.1.2
The semiclassical approximation
411
17.1.3
The temperature of black holes
412
xvi
Contents
17.2
The Euclidean action calculus
414
17.2.1
The action for
Schwarzschild 414
17.2.2
The action for
Reissner-Nordström 416
17.2.3
The laws of thermodynamics
417
17.3
D
= 5 Reissner-Nordström
black holes
418
17.3.1
Making the black hole
420
17.3.2
Microscopic entropy and a 2D field theory
425
17.3.3
Non-extremality and a 2D dilute gas limit
427
17.4
Near horizon geometry
429
17.5
Replacing T4 with
КЗ
432
17.5.1
The geometry
432
17.5.2
The microscopic entropy
433
17.5.3
Probing the black hole with branes
434
17.5.4
The
enhançon
and the second law
437
18
D-branes, gravity and gauge theory
440
18.1
The AdS/CFT correspondence
441
18.1.1
Branes and the decoupling limit
441
18.1.2
Sphere reduction and gauged supergravity
443
18.1.3
Extracts from the dictionary
446
18.1.4
The action, counterterms, and the stress tensor
449
18.2
The correspondence at finite temperature
452
18.2.1
Limits of the non-extremal
БЗ-Ьгапе
452
18.2.2
The AdS-Schwarzschild black hole in global
coordinates
453
18.3
The correspondence with a chemical potential
455
18.3.1
Spinning DS-branes and charged AdS black
holes
455
18.3.2
The
AdS-Reissner-Nordström
black hole
459
18.3.3
Thermodynamic phase structure
459
18.4
The holographic principle
464
19
The holographic
renormalisation
group
467
19.1
Renormalisation
group flows from gravity
467
19.1.1
A BPS domain wall and supersymmetry
469
19.2
Flowing on the Coulomb branch
472
19.2.1
A five dimensional solution
472
19.2.2
A ten dimensional solution
475
19.2.3
Probing the geometry
475
19.2.4
Brane
distributions
478
19.3
An
Я
= 1
gauge dual RG flow
480
19.3.1
The five dimensional solution
482
Contents xvii
19.3.2
The ten dimensional solution
486
19.3.3
Probing with
а БЗ-Ьгапе
487
19.3.4
The Coulomb branch
488
19.3.5 Kahler
structure of the Coulomb branch
489
19.4
An
λί
= 2
gauge dual RG flow and the
enhançon
494
19.4.1
The five dimensional solution
494
19.4.2
The ten dimensional solution
498
19.4.3
Probing with
а БЗ-Ьгапе
499
19.4.4
The moduli space
500
19.5
Beyond gravity duals
502
20
Taking stock
504
References
510
Index
529 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Johnson, Clifford Victor |
| author_facet | Johnson, Clifford Victor |
| author_role | aut |
| author_sort | Johnson, Clifford Victor |
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| building | Verbundindex |
| bvnumber | BV021704196 |
| callnumber-first | Q - Science |
| callnumber-label | QC794 |
| callnumber-raw | QC794.6.S85 |
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| callnumber-sort | QC 3794.6 S85 |
| callnumber-subject | QC - Physics |
| classification_rvk | UO 4065 |
| ctrlnum | (OCoLC)70764801 (DE-599)BVBBV021704196 |
| dewey-full | 539.7258 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 539 - Modern physics |
| dewey-raw | 539.7258 |
| dewey-search | 539.7258 |
| dewey-sort | 3539.7258 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| discipline_str_mv | Physik |
| edition | Reprint., digitally printed |
| format | Book |
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| id | DE-604.BV021704196 |
| illustrated | Illustrated |
| index_date | 2024-07-02T15:18:19Z |
| indexdate | 2024-07-09T20:42:04Z |
| institution | BVB |
| isbn | 0521809126 9780521809122 0521030056 9780521030052 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014918109 |
| oclc_num | 70764801 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-384 DE-19 DE-BY-UBM |
| owner_facet | DE-355 DE-BY-UBR DE-384 DE-19 DE-BY-UBM |
| physical | XXIII, 548 S. Ill., graph. Darst. |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge monographs on mathematical physics |
| spelling | Johnson, Clifford Victor Verfasser aut D-branes Clifford V. Johnson Reprint., digitally printed Cambridge [u.a.] Cambridge University Press 2006 XXIII, 548 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cambridge monographs on mathematical physics Includes bibliographical references and index D-branes String models Superstring theories Superstringtheorie (DE-588)4224277-0 gnd rswk-swf M-Theorie (DE-588)4612243-6 gnd rswk-swf M-Theorie (DE-588)4612243-6 s Superstringtheorie (DE-588)4224277-0 s DE-604 http://www.loc.gov/catdir/description/cam022/2002023434.html Publisher description http://www.loc.gov/catdir/toc/cam022/2002023434.html Table of contents Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014918109&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Johnson, Clifford Victor D-branes D-branes String models Superstring theories Superstringtheorie (DE-588)4224277-0 gnd M-Theorie (DE-588)4612243-6 gnd |
| subject_GND | (DE-588)4224277-0 (DE-588)4612243-6 |
| title | D-branes |
| title_auth | D-branes |
| title_exact_search | D-branes |
| title_exact_search_txtP | D-branes |
| title_full | D-branes Clifford V. Johnson |
| title_fullStr | D-branes Clifford V. Johnson |
| title_full_unstemmed | D-branes Clifford V. Johnson |
| title_short | D-branes |
| title_sort | d branes |
| topic | D-branes String models Superstring theories Superstringtheorie (DE-588)4224277-0 gnd M-Theorie (DE-588)4612243-6 gnd |
| topic_facet | D-branes String models Superstring theories Superstringtheorie M-Theorie |
| url | http://www.loc.gov/catdir/description/cam022/2002023434.html http://www.loc.gov/catdir/toc/cam022/2002023434.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014918109&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT johnsoncliffordvictor dbranes |